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120101202121212 = 223313227376837739
BaseRepresentation
bin11011010011101100111101…
…011111010101000111111100
3120202020120012021102110111000
4123103230331133111013330
5111220214230220334322
61103233421445330300
734204011515054214
oct3323547537250774
9522216167373430
10120101202121212
11352a46a7624814
1211578501706990
135202657cc4230
142192d01a13244
15dd41941993ac
hex6d3b3d7d51fc

120101202121212 has 96 divisors (see below), whose sum is σ = 336802498502400. Its totient is φ = 36791422036416.

The previous prime is 120101202121139. The next prime is 120101202121213. The reversal of 120101202121212 is 212121202101021.

120101202121212 is a `hidden beast` number, since 120 + 1 + 0 + 120 + 212 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101202121213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188100162 + ... + 188737577.

It is an arithmetic number, because the mean of its divisors is an integer number (3508359359400).

Almost surely, 2120101202121212 is an apocalyptic number.

120101202121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120101202121212 is an abundant number, since it is smaller than the sum of its proper divisors (216701296381188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120101202121212 is a wasteful number, since it uses less digits than its factorization.

120101202121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376837992 (or 376837984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120101202121212 its reverse (212121202101021), we get a palindrome (332222404222233).

The spelling of 120101202121212 in words is "one hundred twenty trillion, one hundred one billion, two hundred two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 227 234 351 454 468 681 702 908 1362 1404 2043 2724 2951 4086 5902 6129 8172 8853 11804 12258 17706 24516 26559 35412 53118 79677 106236 159354 318708 376837739 753675478 1130513217 1507350956 2261026434 3391539651 4522052868 4898890607 6783079302 9797781214 10174618953 13566158604 14696671821 19595562428 20349237906 29393343642 40698475812 44090015463 58786687284 85542166753 88180030926 132270046389 171084333506 176360061852 256626500259 264540092778 342168667012 513253000518 529080185556 769879500777 1026506001036 1112048167789 1539759001554 2224096335578 2309638502331 3079518003108 3336144503367 4448192671156 4619277004662 6672289006734 9238554009324 10008433510101 13344578013468 20016867020202 30025300530303 40033734040404 60050601060606 120101202121212